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Finding the Fourth Proportional to 14,141.17, 21,203.03 and 4,780.30

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Solution

The fourth proportional to 14,141.17, 21,203.03 and 4,780.30 is: 7,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.17 : 21,203.03 = 4,780.30 : x
  2. Step 2: Convert to fraction form
    14,141.17/21,203.03 = 4,780.30/x
  3. Step 3: Cross multiply
    14,141.17x = 21,203.03 × 4,780.30
  4. Step 4: Simplify right side
    14,141.17x = 101,356,767.40
  5. Step 5: Solve for x
    x = 101,356,767.40/14,141.17
  6. Step 6: Final answer
    x = 7,167.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.